Search a number
-
+
42342023031 = 3721167390829
BaseRepresentation
bin100111011011110001…
…111111111101110111
311001021212222122010020
4213123301333331313
51143204024214111
631241320300223
73026163154200
oct473361777567
9131255878106
1042342023031
1116a58a71670
128258311673
133cba34bcc9
1420996585a7
15117c409906
hex9dbc7ff77

42342023031 has 48 divisors (see below), whose sum is σ = 72713139840. Its totient is φ = 21667504320.

The previous prime is 42342022969. The next prime is 42342023033. The reversal of 42342023031 is 13032024324.

It is not a de Polignac number, because 42342023031 - 26 = 42342022967 is a prime.

It is a super-2 number, since 2×423420230312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42342022992 and 42342023010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42342023033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87076 + ... + 303753.

It is an arithmetic number, because the mean of its divisors is an integer number (1514857080).

Almost surely, 242342023031 is an apocalyptic number.

42342023031 is a deficient number, since it is larger than the sum of its proper divisors (30371116809).

42342023031 is a wasteful number, since it uses less digits than its factorization.

42342023031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390924 (or 390917 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 42342023031 its reverse (13032024324), we get a palindrome (55374047355).

The spelling of 42342023031 in words is "forty-two billion, three hundred forty-two million, twenty-three thousand, thirty-one".

Divisors: 1 3 7 11 21 33 49 67 77 147 201 231 469 539 737 1407 1617 2211 3283 5159 9849 15477 36113 108339 390829 1172487 2735803 4299119 8207409 12897357 19150621 26185543 30093833 57451863 78556629 90281499 183298801 210656831 288040973 549896403 631970493 864122919 1283091607 2016286811 3849274821 6048860433 14114007677 42342023031